Prime p₀= 2303423922803743799 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 182
Found by: Orange Kid
db: batch=81, k=10, 2 10 2 76 2

STPT(10)	2303421467820123527	0 2 30 32 60 62 90 92 120 122	-2454983620272
STPT(10)	2303421734001093047	0 2 24 26 42 44 60 62 84 86	-2188802650752
SPT(16)	2303422823755183187	0 2 14 44 54 56 92 116 120 144 180 182 192 222 234 236	-1099048560612
SPT(16)	2303423001629364773	0 68 96 114 138 144 146 156 158 168 170 176 200 218 246 314	-921174379026
STPT(10)	2303423510550355859	0 2 78 80 120 122 162 164 240 242	-412253387940
SPT(16)	2303423749269392819	0 12 20 42 110 128 138 164 198 224 234 252 320 342 350 362	-173534350980
SPT(16)	2303424001213168133	0 48 110 138 144 174 216 224 240 248 290 320 326 354 416 464	78409424334
TPT(14)	2303424649678850147	0 2 72 74 84 86 102 104 114 116 132 134 162 164	726875106348
SPT(16)	2303424715879690703	0 18 54 150 156 158 164 198 266 300 306 308 314 410 446 464	793075946904
STPT(10)	2303424726792531647	0 2 30 32 42 44 54 56 84 86	803988787848
SPT(16)	2303425176713090029	0 4 22 34 70 118 150 160 162 172 204 252 288 300 318 322	1253909346230